Resumen de On commutative homogeneous vector bundles attached to nilmanifolds
Rocío Díaz Martín, Linda Saal
The notion of Gelfand pair (G, K) can be generalized by considering homogeneous vector bundles over G/K instead of the homogeneous space G/K and matrix-valued functions instead of scalar-valued functions. This gives the definition of commutative homogeneous vector bundles. Being a Gelfand pair is a necessary condition for being a commutative homogeneous vector bundle. In the case when G/K is a nilmanifold having square-integrable representations, a big family of commutative homogeneous vector bundles was determined in [Transform. Groups 24 (2019), no. 3, 887–911]. In this paper we complete that classification.
